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High Energy Physics - Theory

Title:Gauge-invariant massive BF models

Abstract: Consistent interactions that can be added to a free, Abelian gauge theory
comprising a BF model and a finite set of massless real scalar fields are
constructed from the deformation of the solution to the master equation based
on specific cohomological techniques. Under the hypotheses of analyticity in
the coupling constant, Lorentz covariance, spacetime locality, Poincare
invariance, supplemented with the requirement on the preservation of the number
of derivatives on each field with respect to the free theory, we obtain that
the deformation procedure leads to two classes of gauge-invariant interacting
theories with a mass term for the BF vector field $A_{\mu }$ with U(1) gauge
invariance. In order to derive this result we have not used the Higgs mechanism
based on spontaneous symmetry breaking.